A214850 - cp's OEIS frontend

A214850 3x+1 groups: irregular triangle read by rows: row n gives all the numbers p <= A075684(n)+1 such that {T(2n+1,k) /pZ} is a multiplicative finite group, where T(2n+1,k) is the reduced trajectory of the Collatz problem whose elements are all odd.

n	a(n)
1	2
2	4
3	2
4	4
5	6
6	2
7	4
8	6
9	8
10	12
11	18
12	2
13	4
14	8
15	2
16	4
17	6
18	2
19	4
20	6
21	8
22	12
23	2
24	4
25	8
26	2
27	4
28	6
29	8
30	12
31	2
32	4
33	6
34	12
35	2
36	4
37	8
38	10
39	20
40	22
41	2
42	4
43	6
44	8
45	2
46	4
47	6
48	12
49	18
50	2
51	4
52	8
53	16
54	2
55	4
56	6
57	2
58	4
59	6
60	8
61	12
62	16
63	18
64	24
65	2
66	4
67	2
68	4
69	6
70	2
71	4
72	6
73	8
74	12
75	18
76	2
77	4
78	8
79	2
80	4
81	6

[2, 4, 2, 4, 6, 2, 4, 6, 8, 12, 18, 2, 4, 8, 2, 4, 6, 2, 4, 6, 8, 12, 2, 4, 8, 2, 4, 6, 8, 12, 2, 4, 6, 12, 2, 4, 8, 10, 20, 22, 2, 4, 6, 8, 2, 4, 6, 12, 18, 2, 4, 8, 16, 2, 4, 6, 2, 4, 6, 8, 12, 16, 18, 24, 2, 4, 2, 4, 6, 2, 4, 6, 8, 12, 18, 2, 4, 8, 2, 4, 6]

cp's OEIS Frontend

A214850 3x+1 groups: irregular triangle read by rows: row n gives all the numbers p <= A075684(n)+1 such that {T(2n+1,k) /pZ} is a multiplicative finite group, where T(2n+1,k) is the reduced trajectory of the Collatz problem whose elements are all odd.

Table of values

List of values

n	a(n)
1	2
2	4
3	2
4	4
5	6
6	2
7	4
8	6
9	8
10	12
11	18
12	2
13	4
14	8
15	2
16	4
17	6
18	2
19	4
20	6
21	8
22	12
23	2
24	4
25	8
26	2
27	4
28	6
29	8
30	12
31	2
32	4
33	6
34	12
35	2
36	4
37	8
38	10
39	20
40	22
41	2
42	4
43	6
44	8
45	2
46	4
47	6
48	12
49	18
50	2
51	4
52	8
53	16
54	2
55	4
56	6
57	2
58	4
59	6
60	8
61	12
62	16
63	18
64	24
65	2
66	4
67	2
68	4
69	6
70	2
71	4
72	6
73	8
74	12
75	18
76	2
77	4
78	8
79	2
80	4
81	6

n	a(n)
1	2
2	4
3	2
4	4
5	6
6	2
7	4
8	6
9	8
10	12
11	18
12	2
13	4
14	8
15	2
16	4
17	6
18	2
19	4
20	6
21	8
22	12
23	2
24	4
25	8
26	2
27	4
28	6
29	8
30	12
31	2
32	4
33	6
34	12
35	2
36	4
37	8
38	10
39	20
40	22
41	2
42	4
43	6
44	8
45	2
46	4
47	6
48	12
49	18
50	2
51	4
52	8
53	16
54	2
55	4
56	6
57	2
58	4
59	6
60	8
61	12
62	16
63	18
64	24
65	2
66	4
67	2
68	4
69	6
70	2
71	4
72	6
73	8
74	12
75	18
76	2
77	4
78	8
79	2
80	4
81	6

n	a(n)
1	2
2	4
3	2
4	4
5	6
6	2
7	4
8	6
9	8
10	12
11	18
12	2
13	4
14	8
15	2
16	4
17	6
18	2
19	4
20	6
21	8
22	12
23	2
24	4
25	8
26	2
27	4
28	6
29	8
30	12
31	2
32	4
33	6
34	12
35	2
36	4
37	8
38	10
39	20
40	22
41	2
42	4
43	6
44	8
45	2
46	4
47	6
48	12
49	18
50	2
51	4
52	8
53	16
54	2
55	4
56	6
57	2
58	4
59	6
60	8
61	12
62	16
63	18
64	24
65	2
66	4
67	2
68	4
69	6
70	2
71	4
72	6
73	8
74	12
75	18
76	2
77	4
78	8
79	2
80	4
81	6